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Finding the Fourth Proportional to 307,971,837, 461,979,010.71 and 89,623,987.74

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Solution

The fourth proportional to 307,971,837, 461,979,010.71 and 89,623,987.74 is: 134,442,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,971,837 : 461,979,010.71 = 89,623,987.74 : x
  2. Step 2: Convert to fraction form
    307,971,837/461,979,010.71 = 89,623,987.74/x
  3. Step 3: Cross multiply
    307,971,837x = 461,979,010.71 × 89,623,987.74
  4. Step 4: Simplify right side
    307,971,837x = 41,404,401,192,010,368
  5. Step 5: Solve for x
    x = 41,404,401,192,010,368/307,971,837
  6. Step 6: Final answer
    x = 134,442,167.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.